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Finding the Fourth Proportional to 833.84, 1,150.69 and 455.75

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Solution

The fourth proportional to 833.84, 1,150.69 and 455.75 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.84 : 1,150.69 = 455.75 : x
  2. Step 2: Convert to fraction form
    833.84/1,150.69 = 455.75/x
  3. Step 3: Cross multiply
    833.84x = 1,150.69 × 455.75
  4. Step 4: Simplify right side
    833.84x = 524,426.97
  5. Step 5: Solve for x
    x = 524,426.97/833.84
  6. Step 6: Final answer
    x = 628.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.